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Finding the Fourth Proportional to 34,568.34, 51,839.46 and 11,188.50

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Solution

The fourth proportional to 34,568.34, 51,839.46 and 11,188.50 is: 16,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568.34 : 51,839.46 = 11,188.50 : x
  2. Step 2: Convert to fraction form
    34,568.34/51,839.46 = 11,188.50/x
  3. Step 3: Cross multiply
    34,568.34x = 51,839.46 × 11,188.50
  4. Step 4: Simplify right side
    34,568.34x = 580,005,798.21
  5. Step 5: Solve for x
    x = 580,005,798.21/34,568.34
  6. Step 6: Final answer
    x = 16,778.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.